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Analysis II/ Herbert Amann, Joachim Escher

By: Amann, HerbertContributor(s): Escher, JoachimMaterial type: Text

TextPublication details: Basel: Birkhauser, 2008Description: xii, 400 p. : ill. ; 24 cmISBN: 9783764374723Subject(s): Mathematical analysis | Mathematics | Calculus | Functional analysis | Functions of complex variablesDDC classification: 515

Contents:

Preface -- VI. Integral Calculus in One Variable -- 1. Step Continuous Functions -- 2. Continuous Extensions -- 3. The Cauchy-Riemann Integral -- 4. Properties of the Integral -- 5. The Technology of Integration -- 6. Sums and Integrals -- 7. Fourier Series -- 8. Improper Integrals -- 9. The Gamma Function -- VII. Differential Calculus in Several Variables -- 1. Continuous Linear Mappings -- 2. Differentiability -- 3. Calculation Rules -- 4. Multilinear Mappings -- 5. Higher Derivatives -- 6. Nemytski Operators and Calculus of Variations -- 7. Inverse Mappings -- 8. Implicit Functions -- 9. Manifolds -- 10. Tangents and Normals -- VIII. Line Integrals -- 1. Curves and Their Length -- 2. Curves in Rn -- 3. Pfaff Forms -- 4. Line Integrals -- 5. Holomorphic Functions -- 6. Meromorphic Functions -- Bibliography -- Index.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515 AMA/A (Browse shelf(Opens below))	Available		P40943

Total holds: 0

Preface --
VI. Integral Calculus in One Variable --
1. Step Continuous Functions --
2. Continuous Extensions --
3. The Cauchy-Riemann Integral --
4. Properties of the Integral --
5. The Technology of Integration --
6. Sums and Integrals --
7. Fourier Series --
8. Improper Integrals --
9. The Gamma Function --
VII. Differential Calculus in Several Variables --
1. Continuous Linear Mappings --
2. Differentiability --
3. Calculation Rules --
4. Multilinear Mappings --
5. Higher Derivatives --
6. Nemytski Operators and Calculus of Variations --
7. Inverse Mappings --
8. Implicit Functions --
9. Manifolds --
10. Tangents and Normals --
VIII. Line Integrals --
1. Curves and Their Length --
2. Curves in Rn --
3. Pfaff Forms --
4. Line Integrals --
5. Holomorphic Functions --
6. Meromorphic Functions --
Bibliography --
Index.

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